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Finding the Fourth Proportional to 120,143.44, 165,785.25 and 66,419.78

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Solution

The fourth proportional to 120,143.44, 165,785.25 and 66,419.78 is: 91,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,143.44 : 165,785.25 = 66,419.78 : x
  2. Step 2: Convert to fraction form
    120,143.44/165,785.25 = 66,419.78/x
  3. Step 3: Cross multiply
    120,143.44x = 165,785.25 × 66,419.78
  4. Step 4: Simplify right side
    120,143.44x = 11,011,420,184.94
  5. Step 5: Solve for x
    x = 11,011,420,184.94/120,143.44
  6. Step 6: Final answer
    x = 91,652.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.